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Finding the Third Proportional to 8,754.38 and 13,100.63

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Solution

The third proportional to 8,754.38 and 13,100.63 is: 19,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754.38 : 13,100.63 = 13,100.63 : x
  2. Step 2: Convert to fraction form
    8,754.38/13,100.63 = 13,100.63/x
  3. Step 3: Cross multiply
    8,754.38x = 13,100.63 × 13,100.63
  4. Step 4: Simplify right side
    8,754.38x = 171,626,375.39
  5. Step 5: Solve for x
    x = 171,626,375.39/8,754.38
  6. Step 6: Final answer
    x = 19,604.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.